I tried to cancel my month long trial as it was the last day of it. My account was still charged $10.72. Is it possible to get a refund for that amount and cancel my trial? Or at least get part of it refunded since I am a university student?
If you're still on Premium or you're seeing when your subscription will run out, you can give a shout to the Support team either via the Contact form or tweet @SpotifyCares to check on your refund options.
As for the student discount, it unfortunately doesn't come automatically. You'll need to sign up for it on the Student page.